Greatest Common Factor of 9174/688, 2422/1448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9174/688, 2422/1448

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 9174/688,2422/1448

Given fractions are 9174/688,2422/1448

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 9174,2422

Greatest Common Factor of Numerators i.e. GCF of 9174,2422 is 2 .

LCM of Denominators means LCM of 688,1448 as per the given fractions.

LCM of 688,1448 is 124528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9174,2422

GCF of Fractions 9174/688,2422/1448 is 2/124528

2 9174, 2422
4587, 1211

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9174,2422 By Matching Biggest Common Factor Method

Greatest Common Factor of 9174,2422 By Matching Biggest Common Factor Method

Factors of 9174

List of positive integer factors of 9174 that divides 9174 without a remainder.

1,2,3,6,11,22,33,66,139,278,417,834,1529,3058,4587,9174

Factors of 2422

List of positive integer factors of 2422 that divides 2422 without a remainder.

1,2,7,14,173,346,1211,2422

Greatest Common Factor

We found the factors 9174,2422 . The biggest common factor number is the GCF number.
So the greatest common factor 9174,2422 is 2.

Lets's calculate LCM of 688,1448

2 688, 1448
2 344, 724
2 172, 362
86, 181

∴ So the LCM of the given numbers is 2 x 2 x 2 x 86 x 181 = 124528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/124528

Therefore, the GCF of Fractions 9174/688,2422/1448 is 2/124528

Least Common Multiple of 688,1448 with GCF Formula

Least Common Multiple of 688,1448 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 688,1448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,1448) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(688,1448) x common factors =8 x 1 = 8

LCM(688,1448) = ( 688 × 1448 ) / 8

LCM(688,1448) = 996224 / 8

LCM(688,1448) = 124528


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 9174/688, 2422/1448

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 9174/688, 2422/1448?

Answer: GCF of Numerators as per given numbers 9174/688, 2422/1448 is

GCF of Numerators i.e. for 9174,2422 is 2

LCM of denominators i.e. for 688,1448 is 124528.

Thus, GCF of Fractions is 2/124528.Finally, GCF of Fractions for 9174/688, 2422/1448 is 2/124528.